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Finding the Third Proportional to 23 and 27.81

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Solution

The third proportional to 23 and 27.81 is: 33.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23 : 27.81 = 27.81 : x
  2. Step 2: Convert to fraction form
    23/27.81 = 27.81/x
  3. Step 3: Cross multiply
    23x = 27.81 × 27.81
  4. Step 4: Simplify right side
    23x = 773.54
  5. Step 5: Solve for x
    x = 773.54/23
  6. Step 6: Final answer
    x = 33.63

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.